Properties

Base field \(\Q(\sqrt{13}) \)
Label 2.2.13.1-637.1-a
Conductor 637.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{13}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).

Elliptic curves in class 637.1-a over \(\Q(\sqrt{13}) \)

Isogeny class 637.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
637.1-a1 \( \bigl[0\) , \( 0\) , \( 1\) , \( 1\) , \( 0\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph